10577909 has 2 divisors, whose sum is σ = 10577910. Its totient is φ = 10577908.

The previous prime is 10577891. The next prime is 10577911. The reversal of 10577909 is 90977501.

10577909 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5640625 + 4937284 = 2375^2 + 2222^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10577909 is a prime.

It is a super-2 number, since 2×10577909² = 223784317624562, which contains 22 as substring.

Together with 10577911, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10577939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288954 + 5288955.

It is an arithmetic number, because the mean of its divisors is an integer number (5288955).

Almost surely, 2^10577909 is an apocalyptic number.

It is an amenable number.

10577909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577909 is an equidigital number, since it uses as much as digits as its factorization.

10577909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 10577909 is about 3252.3697514274. The cubic root of 10577909 is about 219.5162165467.

The spelling of 10577909 in words is "ten million, five hundred seventy-seven thousand, nine hundred nine".